Question

8 years ago, the ratio of A's
ago to B's age was 4 : 5. At
present the ratio of B's age to
C's age is 4 : 5. At present,
the difference between A's
age and C's age is 20 years,
then what is the sum of the
ages of A, B and C? → 148
years​

Answer 1

yes......absolutely correct

Answer 2

Answer:

Step-by-step explanation:

Current age of persons

A (years) , B = 4x (years) , C = 5x (years) and (5x - A) = 20 ===> A = 5x - 20

(5x - 20), 4x, 5x

8 years ago age of person A and person B were:  

(A - 8) years and (B - 8) years , and

$\frac{A-8}{B-8}$ = $\frac{4}{5}$ ===> 5A - 40 = 4B - 32

5A - 4B = 8

5(5x - 20) - 4(4x) = 8

25x - 16x = 108

9x = 108

x = 12

Person A is 40 years old

Person B is 48 years old

Person C is 60 years old

A + B + C = 148 years